Taylor obstruction to the integrability of homogeneous potentials of degree two. An application of higher order variational equations
Guillaume Duval ; Andrzej J. Maciejewski
Banach Center Publications, Tome 95 (2011), p. 173-185 / Harvested from The Polish Digital Mathematics Library
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We show how using the differential Galois theory one can find effectively necessary conditions for the integrability of Hamiltonian systems with homogeneous potentials.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:282175 
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     author = {Guillaume Duval and Andrzej J. Maciejewski},
     title = {Taylor obstruction to the integrability of homogeneous potentials of degree two. An application of higher order variational equations},
     journal = {Banach Center Publications},
     volume = {95},
     year = {2011},
     pages = {173-185},
     zbl = {1257.70022},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc94-0-10}
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Guillaume Duval; Andrzej J. Maciejewski. Taylor obstruction to the integrability of homogeneous potentials of degree two. An application of higher order variational equations. Banach Center Publications, Tome 95 (2011) pp. 173-185. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc94-0-10/